HOW TO DRAW A LINE GRAPH

Definition of line graph :

A line graph is a graph that is used to display change over time as a series of data points connected by straight line segments on two axes.

Problem 1 :

Draw a line graph for each of the following tables.

(a)

line-graph-1q1

Solution :

line-graph-1s1

Problem 2 :

line-graph-1q2

Solution :

line-graph-1s2

Problem 3 :

line-graph-1q3

Solution :

line-graph-1s3

Problem 4 :

Sally recorded the number of cars in a car park every two hours.

She begun at 9am and finished at 7 pm.

The line graph shows her results.

line-graph-2q1

(a) When were the most cars in the car park ?

(b) How many cars were in the car park at 11 am

(c) At what time were there 24 cars in the car park ?

(d) Estimate the number of cars in the car park at 10 am.

(e) How many less cars were in the car park at 3 pm than 1 pm ?

Solution :

(a) At 1 pm most number of cars where in the car park.

(b) 80 cars were in the car park at 11 am.

line-graph-2sb

(c) 24 cars in the car park at 5 pm.

line-graph-2sc

(d) 60 cars in the car park at 10 am.

line-graph-2sd

(e) 

line-graph-2se

 3pm = 62

1pm = 90

difference = 90 - 62

= 28 less cars

Problem 3 :

The line graph below shows the cost of a coffee in a shop over 30 years.

line-graph-3q1

(a) In which year was the price £2.50 ?

(b) How much was the price of a coffee in 1990 ?

(c) Estimate the price of a coffee in 2005.

Carlos says that the price of a coffee will be £3.60 by 2020.

(d) Do you agree with Carlos ? Explain your answer.

Solution :

(a)

line-graph-3s-a

In the year 2000, the price is £2.50.

(b)

line-graph-3s-b

The price of a coffee in 1990 is £1.4.

(c) The price of a coffee in 2005 is 2.85.

(d) Yes, i agree with Carlos. If we extend line from 2010 to 2020, the corresponding cost will be £3.6. 

Problem 4 :

The table below shows the average temperature in Belfast and Plymouth.

line-graph-4q2

(a) Draw line graphs on the same axes to show the temperature in Belfast and Plymouth.

line-graph-4q1

(b) On which day did Belfast have a higher temperature than Plymouth ?

(c) Between which two consecutive days did the temperature in Belfast change the most ?

Solution :

(a)

line-graph-4s1

(b) Tuesday belfast have a higher temperature than Plymouth.

(c) Two consecutive days : Tuesday and wednesday.

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